Finding the Fourth Proportional to 1,919,269,698,568.80, 2,878,864,213,650.20 and 467,140,461,006.70
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Solution
The fourth proportional to 1,919,269,698,568.80, 2,878,864,213,650.20 and 467,140,461,006.70 is: 700,700,874,370.65
Step by Step Solution
- Step 1: Write the proportion equation
1,919,269,698,568.80 : 2,878,864,213,650.20 = 467,140,461,006.70 : x - Step 2: Convert to fraction form
1,919,269,698,568.80/2,878,864,213,650.20 = 467,140,461,006.70/x - Step 3: Cross multiply
1,919,269,698,568.80x = 2,878,864,213,650.20 × 467,140,461,006.70 - Step 4: Simplify right side
1,919,269,698,568.80x = 1,344,833,955,940,245,568,487,424 - Step 5: Solve for x
x = 1,344,833,955,940,245,568,487,424/1,919,269,698,568.80 - Step 6: Final answer
x = 700,700,874,370.65
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.